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# Recent problems solved by 'checkley77'

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 Human-and-algebraic-language/200424: the length of a rectangle is 3 times the width. the difference between the lenght and the width is 8 feet determine the rectangle?1 solutions Answer 150706 by checkley77(12569)   on 2009-06-17 17:00:20 (Show Source): You can put this solution on YOUR website!L=3W L-W=8 3W-W=8 2W=8 W=8/2 W=4 ANS. FOR THE WIDTH. L=3*4=12 ANS. FOR THE LENGTH.
 Equations/200388: y=2x^21 solutions Answer 150705 by checkley77(12569)   on 2009-06-17 16:52:24 (Show Source): You can put this solution on YOUR website!y=2x^2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2).
 Rectangles/200419: This question is from textbook Algebra: Introductory and Intermediate The distance around a rectangular path is 42 m. The length of the path is 3 m less than twice the width. Find the length and width of the path.1 solutions Answer 150704 by checkley77(12569)   on 2009-06-17 16:48:02 (Show Source): You can put this solution on YOUR website!L=2W-3 2L+2W=42 2(2W-3)+2W=42 4W-6+2W=42 6W=42+6 6W=48 W=48/6 W=8 ANS. FOR THE WIDTH. L=2*8-3 L=16-3 L=13 ANS FOR THE LENGTH. PROOF: 2*13+2*8=42 26+16=42 42=42
 Miscellaneous_Word_Problems/200249: 10. (9 pts) A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white, and blue, and with a choice of three seats, soft, medium, and hard1 solutions Answer 150611 by checkley77(12569)   on 2009-06-16 17:52:56 (Show Source): You can put this solution on YOUR website!If you're looking for all the combinations of bikes then: 2*3*3=18 possible outcomes.
 Mixture_Word_Problems/200259: I have the hardest time setting up word problems! I can solve them without setting them up but I must show my work. The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 4cm on a side is 192g find the weight of the liquid in a cubical container 3cm on a side.1 solutions Answer 150609 by checkley77(12569)   on 2009-06-16 17:49:54 (Show Source): You can put this solution on YOUR website!4^3/192=3^3/x 64/192=27/x 64x=192*27 64x=5,184 x=5,184/64 x=81 is the weight of the liquid in the 3 cm cube.
 Equations/200264: The longer leg of a right triangle measures 2 feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all 3 sides. 3+2n=2+2n+n-I am not sure if this is correct or not. 1 solutions Answer 150608 by checkley77(12569)   on 2009-06-16 17:44:38 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 is the formula for a right triangle given the three sides. x^2+(2x+2)^2=(2x+3)^2 x^2+4x^2+8x+4=4x^2+12x+9 x^2+8x-12x+4-9=0 x^2-4x-5=0 (x-5)(x+1)=0 x-5=0 x=5 ft. ans. for the shorter leg. 2*5+2=10+2=12 ft. ans. for the longer leg. 2*5+3=10+3=13 ft. ans. for the hypotenuse. Proof: 5^2+12^2=13^2 25+144=169 169=169
 Equations/200266: Find the length of a ladder leaning against a building if the top of the ladder touches the building at a height of 12 feet. Also the length of the ladder is 4 feet more than its distance from the base of the building. n=4n+121 solutions Answer 150606 by checkley77(12569)   on 2009-06-16 17:36:13 (Show Source): You can put this solution on YOUR website!12^2+x^2=(x+4)^2 144+x^2=x^2+8x+16 8x=144-16 8x=128 x=128/8 x=16 ft. is the distance from the building to the foot of the ladder 16=4=20 ft. is the length of the ladder. Proof: 12^2=16^2=20^2 144+1256=400 400=400
 Equations/200271: Find two consecutive odd integers such that the square of the first added to 3 times the second is 24. n^2+3(n)=24 This is the equation I came up with1 solutions Answer 150605 by checkley77(12569)   on 2009-06-16 17:28:36 (Show Source): You can put this solution on YOUR website!n^2+3(n)=24 n^2+3n-24=0 x=(-3+-sqrt[3^2-4*1*-24])/2*1 x=(-3+-sqrt[9+96])/2 x=(-3+-sqrt105)/2 x=(-3+-10.247)/2 x=(-3+10.247)/2 x=7.247/2 x=3.6235 ans. x=(-2-10.247)/2 x=-12.247/2 x=-6.1235 ans.
 Finance/200289: At a football game, 200 souvenirs were sold, some at \$1.50 each and the rest at \$2.50 each. If the proceeds from the sales totaled \$380, how many of each kind were sold?1 solutions Answer 150604 by checkley77(12569)   on 2009-06-16 17:19:11 (Show Source): You can put this solution on YOUR website!2.50x+1.50(200-x)=380 2.50x+300-1.50x=380 x=380-300 x=80 \$2.50 souvenirs were sold. 200-80=120 \$1.50 souvenirs were sold. Proof: 2.50*80+1.50*120=380 200+180=380 380=380
 Polynomials-and-rational-expressions/200241: multiply (11u+15)^21 solutions Answer 150561 by checkley77(12569)   on 2009-06-16 10:01:39 (Show Source): You can put this solution on YOUR website!(11u+15)^2 11u+15 11u+15 ----------------- 121u^2+165u+165u+225 121u^2+330u+225 ans.
 Probability-and-statistics/200256: How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview?1 solutions Answer 150560 by checkley77(12569)   on 2009-06-16 09:56:58 (Show Source): You can put this solution on YOUR website!15*14*13*12*11*10=3,603,600 possible groups.
 Mixture_Word_Problems/200257: A chemist has prepared two acid solutions, one of which is 4% acid by volume, another 11% acid. How many cubic centimeters of each should the chemist mix together to obtain 50cm3 of 6.24% solution?1 solutions Answer 150559 by checkley77(12569)   on 2009-06-16 09:53:57 (Show Source): You can put this solution on YOUR website!.11x+.04(50-x)=.0624*50 .11x+2-.04x=3.12 .07x=3.12-2 .07x=1.12 x=1.12/.07 x=16 cm of 11% solution. 50-16=34 cm of 4% solution. Proof: .11*16+.04*34=3.12 1.76+1.36=3.12 3.12=3.12
 Linear-systems/200258: please help me!! solve this equation 2x+2y=-61 solutions Answer 150558 by checkley77(12569)   on 2009-06-16 09:49:25 (Show Source): You can put this solution on YOUR website!2x+2y=-6 2y=-2x-6 y=-2x/2-6/-2 y=-x+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x +3
 Surface-area/200260: Kim and her mother are planning to paint Kim's room. Her room is rectangular and measures 11 feet by 15 feet. The ceiling are 8 feet high. Assuming there are no windows or doors, how many square feet will they need to cover with paint?1 solutions Answer 150557 by checkley77(12569)   on 2009-06-16 09:46:40 (Show Source): You can put this solution on YOUR website!2(11*8)+2(15*8)=2*88+2*120=176+240=416 ft^2.
 Angles/200263: please help me with this question...what is the measure of a supplement of a 72 degrees angle???????1 solutions Answer 150556 by checkley77(12569)   on 2009-06-16 09:40:51 (Show Source): You can put this solution on YOUR website!Supplemental angles add up to 180 degrees. 180-72=108 degree ans.
 Quadratic_Equations/200198: This question is from textbook Mathematics in Our World Can you please help me solve this equation. 1 solutions Answer 150503 by checkley77(12569)   on 2009-06-15 18:22:11 (Show Source): You can put this solution on YOUR website!x^2-2x-13=0 Using the quadratic equation: We get: x=(2+-sqrt[-2^2-4*1*-13])/2*1 x=(2+-sqrt[4+52)/2 x=(2+-sqrt56)/2 x=(2+-7.48)/2 x=(2+7.48)/2 x=9.48/2 x=4.74 ans. x=(2-9.48)/2 x=-7.48/2 x=-3/74 ans.
 Inequalities/200079: A theatre is holding an annual spring performance.Adults pay \$7.50 and children pay \$3.75.If there were 68 adult tickets sold,what is the minimum number of childrens tickets that need to be sold,in order for revenues to exceed \$600? The options include : 136,24,90,and 251 solutions Answer 150495 by checkley77(12569)   on 2009-06-15 17:13:59 (Show Source): You can put this solution on YOUR website!68*7.50=\$510 from sales of adult tickets. \$90 worth of children's tickets need to be sold. 90/3.75=24 children's tickets need to be sold to make \$600. To exceed \$600 1 more children's ticket needs to be sold (24+1=25 ans.)
 Probability-and-statistics/200101: During the last hour, a telemarketer dials 25 numbers and reached 7 busy signals, 3 answering machines, and 15 people. Use this information to determine the empirical probability that the next call will be answered in person. 1 solutions Answer 150494 by checkley77(12569)   on 2009-06-15 17:07:54 (Show Source): You can put this solution on YOUR website!success/total calls=15/25=3/5=.6=60% success in the next call being answered by a person.
 test/200104: Calculate the coumpound interest. A(t)=P(1+r/n)^nt How much would \$200 invested at 4% interest compounded monthly be worth after 30 years?1 solutions Answer 150493 by checkley77(12569)   on 2009-06-15 17:04:55 (Show Source): You can put this solution on YOUR website!A(30)=200(1+.04/12)^12*30 A(30)=200(1+.003333)^360 A(30)=200(1.003333)^360 A(30)=200*3.3131 A(30)=\$662.62 ans.
 Linear-equations/200119: -x+4y=-11 2x+4y=-2 1 solutions Answer 150490 by checkley77(12569)   on 2009-06-15 16:57:44 (Show Source): You can put this solution on YOUR website!-x+4y=-11 multiply this equation by 2 & add them 2x+4y=-2 -2x+8y=-22 -------------- 12y=-24 y=-24/12 y=-2 ans. 2x+4*-2=-2 2x-8=-2 2x=-2+8 2x=6 x=6/2 x=3 ans. Proof: 2*3+4*-2=-2 6-8=-2 -2=-2
 Permutations/200122: How many 4-digit numbers greater than 6000 can be formed with the digits 1,3,6 and 8 if no digit is repeated?1 solutions Answer 150488 by checkley77(12569)   on 2009-06-15 16:52:02 (Show Source): You can put this solution on YOUR website!The first digit is a 6 or 8 The second is any 1 of the remaining 3 The next is any one of the remaing 2 Thelast is the 1 remaing digit 2*3*2*1=12 Proof 6138 8136 6318 8316 6813 8613 6183 8163 6381 8361
 Permutations/200123: How many 4-digit numbers greater than 6000 can be formed with the digits 1, 3, 6 and 8 if no digit is repeated?1 solutions Answer 150487 by checkley77(12569)   on 2009-06-15 16:50:20 (Show Source): You can put this solution on YOUR website!The first digit is a 6 or 8 The second is any 1 of the remaining 3 The next is any one of the remaing 2 Thelast is the 1 remaing digit 2*3*2*1=12 Proof 6138 8136 6318 8316 6813 8613 6183 8163 6381 8361 6831 8631
 Miscellaneous_Word_Problems/200184: your assistant really fast please help ASAP!!!!!!!!! In how many ways can 6 instructors be assigned to six sections of a course in mathematics? 1 solutions Answer 150486 by checkley77(12569)   on 2009-06-15 16:42:14 (Show Source): You can put this solution on YOUR website!The first position can be filed by 1 of 6 The second by 1 of 5 The next by 1 of 4 The next by 1 of 3 The next by 1 of 2 The last by the 1 remaining instructor. THUS: 6*5*4*3*2*1=720
 Miscellaneous_Word_Problems/200186: I went over and over on this problem and i'm still coming up with the wrong answer please help ASAP!!!!! One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a jack. thank you so much T-Aun 1 solutions Answer 150484 by checkley77(12569)   on 2009-06-15 16:37:41 (Show Source): You can put this solution on YOUR website!There are 4 jacks in a deck of 52 cards. Thus the probability of selecting a jack is: 4/52=1/13=.0769 or 7.69%.
 Numbers_Word_Problems/200181: A certain sum of money is invested at 10%. Twice that amount is invested at 8%. The total amount of interest from both investments is 91 dollars. How much is invested at 8%. 1 solutions Answer 150482 by checkley77(12569)   on 2009-06-15 16:35:12 (Show Source): You can put this solution on YOUR website!.10x+.08*2x=91 .10x+.16x=91 .26x=91 x=91/.26 x=\$350 is the amount invested @ 10% 2*350=\$700 is the amount invested @ 8% Proof: .10*350+.08*700=91 35+56=91 91=91
 Trigonometry-basics/200022: If it takes 25 years for one generation to beget the next, what is the greatest possible number of male forebears living in 1100 A.D. from which a child born in 1950 could claim descent?1 solutions Answer 150417 by checkley77(12569)   on 2009-06-14 17:59:32 (Show Source): You can put this solution on YOUR website!(1950-1100)/25=850/25=34 ans.
 percentage/200041: .015(\$385,900.00-\$96,475.00)=1 solutions Answer 150416 by checkley77(12569)   on 2009-06-14 17:55:13 (Show Source): You can put this solution on YOUR website!.015(\$385,900.00-\$96,475.00)=.015*289,425=\$4,341.375 ans.
 Square-cubic-other-roots/200045: This question is from textbook Beginning Algebra sqrt of 52 divided by sqrt of 131 solutions Answer 150415 by checkley77(12569)   on 2009-06-14 17:51:54 (Show Source): You can put this solution on YOUR website!sqrt52/sqrt13 sqrt(4*13)/sqrt13 cancel out the sqrt13 factors. sqrt4=2 ans.
 Polynomials-and-rational-expressions/200047: FACTOR BY GROUPING 2T^2+6T-5T-151 solutions Answer 150414 by checkley77(12569)   on 2009-06-14 17:48:48 (Show Source): You can put this solution on YOUR website!2T^2+6T-5T-15 2t(t+3)-5(t+3) (2t-5)(t+3)
 Number-Line/200052: What is the missing number; 0,1,1,2,3,5,8,13,_ 34, 55?1 solutions Answer 150413 by checkley77(12569)   on 2009-06-14 17:45:36 (Show Source): You can put this solution on YOUR website!0,1,1,2,3,5,8,13,(21),34, 55? 0+1=1 1+1=2 1+2=3 2+3=5 3+5=8 8+13=21 13+21=34 21+34=55
 Money_Word_Problems/199936: Investments Millennium Securities last year invested \$600000 in mutual funds. The International fund earned 11% Simple interest. The high-tech fund earned 7% simple interest. At the end of the year, the company had earned \$50000 in interest. how much did it invest in each fund?1 solutions Answer 150340 by checkley77(12569)   on 2009-06-13 18:17:22 (Show Source): You can put this solution on YOUR website!.11x+.07(600,000-x)=50,000 .11x+42,000-.07x=50,000 .04x=50,000-42,000 .04x=8,000 x=8,000/.04 x=\$200,000 amount invested @ 11%. 600,000-200,000=\$400,000 amount invested @ 7%. Proof: .11*200,000+.07*400,000=50,000 22,000+28,000=50,000 50,000=50,000